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Finding the Fourth Proportional to 265,890.34, 367,064.09 and 205,325.02

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Solution

The fourth proportional to 265,890.34, 367,064.09 and 205,325.02 is: 283,453.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,890.34 : 367,064.09 = 205,325.02 : x
  2. Step 2: Convert to fraction form
    265,890.34/367,064.09 = 205,325.02/x
  3. Step 3: Cross multiply
    265,890.34x = 367,064.09 × 205,325.02
  4. Step 4: Simplify right side
    265,890.34x = 75,367,440,593.91
  5. Step 5: Solve for x
    x = 75,367,440,593.91/265,890.34
  6. Step 6: Final answer
    x = 283,453.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.